Finding the Third Proportional to 30,765 and 41,760

Step by Step Solution

1. Step 1: Write the proportion equation
   30,765 : 41,760 = 41,760 : x
2. Step 2: Convert to fraction form
   30,765/41,760 = 41,760/x
3. Step 3: Cross multiply
   30,765x = 41,760 × 41,760
4. Step 4: Simplify right side
   30,765x = 1,743,897,600
5. Step 5: Solve for x
   x = 1,743,897,600/30,765
6. Step 6: Final answer
   x = 56,684.47